What is the 1223rd prime number?
The 1223rd prime number is 9923. The next prime is 9929 (a gap of 6) and the one before is 9907.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1223rd one is 9923.
- 2
9923 is prime because no prime up to ā9923 ā 99.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1223rd prime is close to 1223 Ć ln(1223) ā 8694, and here it is 9923.
- 4
9923 has no twin: neither 9921 nor 9925 is prime.
Primes around the 1223rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1220 | 9887 | 4 |
| 1221 | 9901 | 14 |
| 1222 | 9907 | 6 |
| 1223 | 9923 | 16 |
| 1224 | 9929 | 6 |
| 1225 | 9931 | 2 |
| 1226 | 9941 | 10 |
Questions
What is the 1223rd prime number?
9923.
Which prime number is 9923?
9923 is the 1223rd prime number.
What is the sum of the first 1223 primes?
5,676,706.